Answers are grounded in this paper and cite their sources.
Computational analysis reveals a novel 68-face convex polyhedron outside the Johnson solids, indicating new possibilities in regular-faced geometry.
A newly discovered convex polyhedron with 48 vertices, 114 edges of unit length, and 68 regular faces (12 regular pentagons + 56 equilateral triangles). This polyhedron exhibits reflection symmetry across the Y=0 plane and is not catalogued in the Johnson solids (J1-J92, 1966-1969). Full coordinates, incidence matrix, and computational verification included.
No takes yet. Share an insight, caveat, or question.
Librán López Marcos (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: